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Simplifying -2(4 + 12p) = 5(11 + -9p) (4 * -2 + 12p * -2) = 5(11 + -9p) (-8 + -24p) = 5(11 + -9p) -8 + -24p = (11 * 5 + -9p * 5) -8 + -24p = (55 + -45p) Solving -8 + -24p = 55 + -45p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '45p' to each side of the equation. -8 + -24p + 45p = 55 + -45p + 45p Combine like terms: -24p + 45p = 21p -8 + 21p = 55 + -45p + 45p Combine like terms: -45p + 45p = 0 -8 + 21p = 55 + 0 -8 + 21p = 55 Add '8' to each side of the equation. -8 + 8 + 21p = 55 + 8 Combine like terms: -8 + 8 = 0 0 + 21p = 55 + 8 21p = 55 + 8 Combine like terms: 55 + 8 = 63 21p = 63 Divide each side by '21'. p = 3 Simplifying p = 3
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